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Finding the Fourth Proportional to 18,432.81, 27,649.32 and 4,581.81

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Solution

The fourth proportional to 18,432.81, 27,649.32 and 4,581.81 is: 6,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432.81 : 27,649.32 = 4,581.81 : x
  2. Step 2: Convert to fraction form
    18,432.81/27,649.32 = 4,581.81/x
  3. Step 3: Cross multiply
    18,432.81x = 27,649.32 × 4,581.81
  4. Step 4: Simplify right side
    18,432.81x = 126,683,999.99
  5. Step 5: Solve for x
    x = 126,683,999.99/18,432.81
  6. Step 6: Final answer
    x = 6,872.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.